x 4 6 9 11 15
P(x) 0.20 0.34 0.15 0.22 0.09
This table shows a probability
distribution for a discrete random
variable. What is the mean of this
discrete random variable?
O9
O 0.2
0 1
O 7.96

Respuesta :

The mean of this  discrete random variable is 7.96

Solution:

Given that,

x         4       6          9         11        15

P(x)   0.20   0.34     0.15    0.22     0.09

Mean is given as:

[tex]\mu_{x}=\sum[x \times P(x)][/tex]

Therefore,

[tex]\mu_{x} = (4 \times 0.20) + (6 \times 0.34 ) + (9 \times 0.15 ) + (11 \times 0.22 ) + (15 \times 0.09)\\\\Simplify\\\\\mu_{x} = 0.8 + 2.04 + 1.35 + 2.42 + 1.35\\\\\mu_{x} = 7.96[/tex]

Thus, mean of this  discrete random variable is 7.96